Plane domains which are spectrally determined II
Existence of the non-disk plane domains, which are determined from Dirichlet (or Neumann) spectrum of the Laplacian, is proved. It is shown that these domains are oval which have just four vertices when , where denotes an area and a boundary length of
Watanabe Kohtaro
doaj +1 more source
On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces [PDF]
In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform.
Bespalov, A, Heuer, N
core +6 more sources
Diffraction by an acoustically penetrable or an electromagnetically dielectric half plane II [PDF]
The present work gives a mathematical model for an acoustically penetrable or electromagnetically dielectric half plane. An approximate boundary condition is derived which depends on the thickness of, and the material constants which constitutes, the ...
Rawlins, A D
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Dynamic tuning of dielectric permittivity in BaTiO3 via electrical biasing
Dynamic tuning of optical properties is technologically important for the development of future integrated electronic and photonic devices. Here, we demonstrate the electrically tunable permittivity in optical frequency in epitaxial BaTiO3 (BTO) thin ...
Shikhar Misra +3 more
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Isospectral Convex Domains in the Hyperbolic Plane [PDF]
We construct pairs of nonisometric convex polygons in the hyperbolic plane for which the Laplacians are both Dirichlet and Neumann isospectral. We also give examples of pairs of isospectral potentials for the Schrödinger operator on certain convex hyperbolic polygons.
Gordon, Carolyn S., Webb, David L.
openaire +1 more source
Generation of hybrid grids over plane domains
The paper presents an algorithm of coverage 2-D multiconnected domain by trianlges and quadrilaterals. The zone covered with quadrilaterals is structured, thus the zone covered with triangles is unstructured.
Jan Kucwaj
doaj
Quasiconformal extension for harmonic mappings on finitely connected domains
We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
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Magnetic domain configuration of (111)-oriented LaFeO3 epitaxial thin films
In antiferromagnetic spintronics control of the domains and corresponding spin axis orientation is crucial for devices. Here we investigate the antiferromagnetic axis in (111)-oriented LaFeO3/SrTiO3, which is coupled to structural twin domains.
I. Hallsteinsen +12 more
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The variance of a poisson process of domains [PDF]
A familiar relation links the densities that result for the intersection of a convex body and straight lines under uniform isotropic randomness with those that result under weighted randomness.
Kellerer, Albrecht M.
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On the Number of Clumps Resulting from the Overlap of Randomly Placed Figures in a Plane [PDF]
When two-dimensional figures, called laminae, are randomly placed on a plane domains result that can either be aggregates or individual laminae. The intersection of the union, U, of these domains with a specified field of view, F, in the plane is ...
Kellerer, Albrecht M.
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